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A tightness criterion for random fields, with application to the Ising model

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorFurlan, Marco
hal.structure.identifierLaboratoire d'Analyse, Topologie, Probabilités [LATP]
dc.contributor.authorMourrat, Jean-Christophe
dc.date.accessioned2019-02-27T13:08:15Z
dc.date.available2019-02-27T13:08:15Z
dc.date.issued2017
dc.identifier.issn1083-6489
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18496
dc.language.isoenen
dc.subjecttightness criterionen
dc.subjectlocal Besov spacesen
dc.subjectIsing modelen
dc.subject.ddc519en
dc.titleA tightness criterion for random fields, with application to the Ising modelen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe present a criterion for a family of random distributions to be tight in local Hölder and Besov spaces of possibly negative regularity on general domains. We then apply this criterion to find the sharp regularity of the magnetization field of the two-dimensional Ising model at criticality, answering a question of [CGN15].en
dc.relation.isversionofjnlnameElectronic Journal of Probability
dc.relation.isversionofjnlvol22en
dc.relation.isversionofjnlissue2017en
dc.relation.isversionofjnldate2017-10
dc.relation.isversionofjnlpagespaper no. 97, 29 p.en
dc.relation.isversionofdoi10.1214/17-EJP121en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01615515en
dc.relation.isversionofjnlpublisherInstitute of Mathematical Statisticsen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-02-27T13:05:38Z
hal.author.functionaut
hal.author.functionaut


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